Circle Corner
Circle corner (a two-dimensional figure) is a right triangle having acute vertices on a circle with the hypotenuse outside the circle.
- Chord is a line segment on the interior of a circle.
- Segment of a circle is an interior part of a circle bound by a chord and an arc.
area of a Circle Corner formula
\(\large{ A_{area} = \frac{a\;b \;-\; r \; l \;+\; s \; \left(r \;-\; h\right) }{2 } }\) |
Where:
\(\large{ A_{area} }\) = area
\(\large{ l }\) = arc length
\(\large{ s }\) = chord length
\(\large{ a, b }\) = edge
\(\large{ r }\) = radius
\(\large{ h }\) = segment heigh
Arc Length of a Circle Corner formula
\(\large{ l = r \; \theta }\) |
Where:
\(\large{ l }\) = arc length
\(\large{ \theta }\) = angle
\(\large{ r }\) = radius
Chord Length of a Circle Corner formula
\(\large{ s = a^2 \; b^2 }\) |
Where:
\(\large{ s }\) = chord length
\(\large{ a, b }\) = edge
Height of a Circle Corner formula
\(\large{ h = r \; \left( 1 - cos \; \frac{\theta}{2} \right) }\) |
Where:
\(\large{ h }\) = segment height
\(\large{ \theta }\) = segment angle
\(\large{ r }\) = radius
Perimeter of a Circle Corner formula
\(\large{ p = a + b + l }\) |
Where:
\(\large{ p }\) = perimeter
\(\large{ l }\) = arc length
\(\large{ a, b }\) = edge
Segment Angle of a Circle Corner formula
\(\large{ \theta = arccos \; \frac{ 2\;r^2 \;-\; s^2 }{2\;r^2} }\) |
Where:
\(\large{ \theta }\) = segment angle
\(\large{ s }\) = chord length
\(\large{ r }\) = radius
Tags: Equations for Area Equations for Perimeter Equations for Arc Length Equations for Chord Equations for Segment